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Luka Aleksić's user avatar
Luka Aleksić's user avatar
Luka Aleksić's user avatar
Luka Aleksić
  • Member for 7 years, 7 months
  • Last seen more than 1 year ago
5 votes
6 answers
3k views

Symmetry of point about a line in 3d

4 votes
3 answers
265 views

Why do I keep running into contradictions in this problem (Knights and Knaves variation)?

4 votes
4 answers
3k views

How to turn the ellipse $x^2 - xy + y^2 - 3y - 1 = 0$ to the canonical form using an isometric transformation?

2 votes
1 answer
94 views

Prove $\binom{0}{8}+\binom{1}{8}+\cdots+\binom{n}{8}=\binom{n+1}{9}$ for all $n$ in $\mathbb{N}$

2 votes
3 answers
54 views

Is this the only solution to the problem?

2 votes
2 answers
87 views

A formal language problem

1 vote
2 answers
30 views

For a linear operator $L:V\to V$, $L\neq 0$, $(\exists m\in N)L^m=0$ and $u\in V$ such that $L^{m-1}(u)\neq 0$, prove $L^{m-1}(u)\in KerL\cap ImL$

1 vote
1 answer
52 views

Prove that $\ \forall n\in \mathbb{N}, \ \binom{2n}{n-1}=\sum_{i=0}^{n-1}\binom{n}{i}\binom{n}{n-1-i}$

0 votes
1 answer
35 views

How to derive the general element of a sequence from its generating function?